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37342656012 = 223194730711351
BaseRepresentation
bin100010110001110010…
…111011011000001100
310120101110210110211210
4202301302323120030
51102434204443022
625053250414420
72461246224144
oct426162733014
9116343713753
1037342656012
1114922a57192
1272a1b91410
1336a168257c
141b436bd924
15e8857aa0c
hex8b1cbb60c

37342656012 has 96 divisors (see below), whose sum is σ = 93983662080. Its totient is φ = 11502907200.

The previous prime is 37342656011. The next prime is 37342656041. The reversal of 37342656012 is 21065624373.

It is not an unprimeable number, because it can be changed into a prime (37342656011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3284137 + ... + 3295487.

It is an arithmetic number, because the mean of its divisors is an integer number (978996480).

Almost surely, 237342656012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37342656012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46991831040).

37342656012 is an abundant number, since it is smaller than the sum of its proper divisors (56641006068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37342656012 is a wasteful number, since it uses less digits than its factorization.

37342656012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11731 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 37342656012 in words is "thirty-seven billion, three hundred forty-two million, six hundred fifty-six thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 307 564 614 893 921 1228 1786 1842 2679 3572 3684 5358 5833 10716 11351 11666 14429 17499 22702 23332 28858 34053 34998 43287 45404 57716 68106 69996 86574 136212 173148 215669 274151 431338 533497 548302 647007 822453 862676 1066994 1096604 1294014 1600491 1644906 2133988 2588028 3200982 3289812 3484757 6401964 6969514 10136443 10454271 13939028 20272886 20908542 30409329 40545772 41817084 60818658 66210383 121637316 132420766 163783579 198631149 264841532 327567158 397262298 491350737 655134316 794524596 982701474 1965402948 3111888001 6223776002 9335664003 12447552004 18671328006 37342656012